104638930176 has 144 divisors (see below), whose sum is σ = 304049088000. Its totient is φ = 31683778560.

The previous prime is 104638930127. The next prime is 104638930183. The reversal of 104638930176 is 671039836401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12659421 + ... + 12667683.

It is an arithmetic number, because the mean of its divisors is an integer number (2111452000).

Almost surely, 2^104638930176 is an apocalyptic number.

104638930176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104638930176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152024544000).

104638930176 is an abundant number, since it is smaller than the sum of its proper divisors (199410157824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104638930176 is a wasteful number, since it uses less digits than its factorization.

104638930176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 104638930176 in words is "one hundred four billion, six hundred thirty-eight million, nine hundred thirty thousand, one hundred seventy-six".